Beginning and Intermediate Algebra (6th Edition)
6th Edition
ISBN: 9780321969163
Author: Margaret L. Lial, John Hornsby, Terry McGinnis
Publisher: PEARSON
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Chapter 9.2, Problem 5E
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To calculate: The value of
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If(-5.2, g(x)) is a solution to the equation 5 – 3x=g(x), what is the value of g(x)?
In Exercises 20–22, find the domain of each function.
20. f(x) = 7x - 3
1
21. g(x)
x + 8
3x
22. f(x) = x +
x - 5
Exercises 121–140: (Refer to Examples 12–14.) Complete
the following for the given f(x).
(a) Find f(x + h).
(b) Find the difference quotient of f and simplify.
121. f(x) = 3
122. f(x) = -5
123. f(x) = 2x + 1
124. f(x) = -3x + 4
%3D
125. f(x) = 4x + 3
126. f(x) = 5x – 6
127. f(x) = -6x² - x + 4
128. f(x) = x² + 4x
129. f(x) = 1 – x²
130. f(x) = 3x²
131. f(x) =
132. /(x) 3D글
= =
132. f(:
133. f(x) = 3x² + 1
134. f(x) = x² –- 2
135. f(x) = -x² + 2r
136. f(x) = -4xr² + 1
137. f(x) = 2x - x +1 138. f(x) = x² + 3x - 2
139. f(x) = x'
140. f(x) = 1 – x
Chapter 9 Solutions
Beginning and Intermediate Algebra (6th Edition)
Ch. 9.1 - Concept Check Complete each statement. Choices may...Ch. 9.1 - Prob. 2ECh. 9.1 - Concept Check Complete each statement. Choices may...Ch. 9.1 - Prob. 4ECh. 9.1 - Concept Check Complete each statement. Choices may...Ch. 9.1 - Concept Check Complete each statement. Choices may...Ch. 9.1 - Prob. 7ECh. 9.1 - Write each relation as a set of ordered pairs. See...Ch. 9.1 - Prob. 9ECh. 9.1 - Write each relation as a set of ordered pairs. See...
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Concept Check Express each relation using a...Ch. 9.1 - Prob. 15ECh. 9.1 - Concept Check Express each relation using a...Ch. 9.1 - Prob. 17ECh. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Prob. 38ECh. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Decide whether each relation defines a function,...Ch. 9.1 - Prob. 44ECh. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Prob. 65ECh. 9.1 - Decide whether each relation defines y as a...Ch. 9.1 - Prob. 67ECh. 9.1 - Decide whether each relation defines y as a...Ch. 9.2 - Concept Check Work each problem. To emphasize that...Ch. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 49ECh. 9.2 - Prob. 50ECh. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Prob. 56ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 61ECh. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Prob. 64ECh. 9.2 - Prob. 65ECh. 9.2 - Prob. 66ECh. 9.2 - Prob. 67ECh. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.2 - Solve each problem. The table represents a linear...Ch. 9.2 - Prob. 71ECh. 9.2 - Solve each problem. The graph shows electricity...Ch. 9.2 - Solve each problem.
73. Forensic scientists use...Ch. 9.2 - Prob. 74ECh. 9.2 - Prob. 75ECh. 9.2 - Prob. 76ECh. 9.2 - Prob. 77ECh. 9.2 - Prob. 78ECh. 9.2 - Prob. 79ECh. 9.2 - Prob. 80ECh. 9.2 - Prob. 81ECh. 9.2 - Prob. 82ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Solve each problem. See Objective 2. The cost in...Ch. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - Prob. 41ECh. 9.3 - Prob. 42ECh. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 - Prob. 67ECh. 9.3 - Prob. 68ECh. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Prob. 71ECh. 9.3 - Prob. 72ECh. 9.3 - Prob. 73ECh. 9.3 - Prob. 74ECh. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - Prob. 78ECh. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Prob. 81ECh. 9.3 - Prob. 82ECh. 9.3 - Prob. 83ECh. 9.3 - Prob. 84ECh. 9.3 - Prob. 85ECh. 9.3 - Prob. 86ECh. 9.3 - Prob. 87ECh. 9.3 - Prob. 88ECh. 9.3 - Prob. 89ECh. 9.3 - Prob. 90ECh. 9.3 - Prob. 91ECh. 9.3 - Prob. 92ECh. 9.3 - Prob. 93ECh. 9.3 - Prob. 94ECh. 9.3 - Prob. 95ECh. 9.3 - Prob. 96ECh. 9.3 - Prob. 97ECh. 9.3 - Prob. 98ECh. 9.3 - Prob. 99ECh. 9.3 - Prob. 100ECh. 9.3 - Prob. 101ECh. 9.3 - Prob. 102ECh. 9.3 - Prob. 103ECh. 9.3 - Prob. 104ECh. 9.3 - Solve each problem. See Objective 3.
105. When a...Ch. 9.3 - Prob. 106ECh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Concept Check Use personal experience or intuition...Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Concept Check Use personal experience or intuition...Ch. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Prob. 35ECh. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Solve each problem. See Examples 17. If h varies...Ch. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Prob. 47ECh. 9.4 - Prob. 48ECh. 9.4 - Prob. 49ECh. 9.4 - Prob. 50ECh. 9.4 - Solve each problem. See Examples 1–7.
51. For a...Ch. 9.4 - Prob. 52ECh. 9.4 - Prob. 53ECh. 9.4 - Prob. 54ECh. 9.4 - Prob. 55ECh. 9.4 - Prob. 56ECh. 9.4 - Prob. 57ECh. 9.4 - Prob. 58ECh. 9.4 - Prob. 59ECh. 9.4 - Prob. 60ECh. 9.4 - Prob. 61ECh. 9.4 - Prob. 62ECh. 9.4 - Prob. 63ECh. 9.4 - Prob. 64ECh. 9.4 - Prob. 65ECh. 9.4 - Prob. 66ECh. 9.4 - Prob. 67ECh. 9.4 - Prob. 68ECh. 9 - Prob. 1TYWPCh. 9 - Prob. 2TYWPCh. 9 - Prob. 3TYWPCh. 9 - Prob. 4TYWPCh. 9 - 9.1 Decide whether each relation defines a...Ch. 9 - 9.1 Decide whether each relation defines a...Ch. 9 - 9.1 Decide whether each relation defines a...Ch. 9 - 9.1 Decide whether each relation defines a...Ch. 9 - 9.1, 9.2 Decide whether each relation defines y as...Ch. 9 - 9.1, 9.2 Decide whether each relation defines y as...Ch. 9 - 9.1, 9.2 Decide whether each relation defines y as...Ch. 9 - 9.1, 9.2 Decide whether each relation defines y as...Ch. 9 - 9.2 Let f(x)=2x2+3x6. Find the following. f(0)Ch. 9 - 9.2 Let f(x)=2x2+3x6. Find the following. f(2.1)Ch. 9 - 9.2 Let. Find the following.
11.
Ch. 9 - 9.2 Let f(x)=2x2+3x6. Find the following. f(k)Ch. 9 - Solve each problem.
13. The equation defines y as...Ch. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Solve each problem.
27. The frequency (number of...Ch. 9 - Prob. 28RECh. 9 - Prob. 1MRECh. 9 - Prob. 2MRECh. 9 - Prob. 3MRECh. 9 - Prob. 4MRECh. 9 - Prob. 5MRECh. 9 - Prob. 6MRECh. 9 - Prob. 7MRECh. 9 - Prob. 8MRECh. 9 - Prob. 9MRECh. 9 - Prob. 10MRECh. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Prob. 9TCh. 9 - Prob. 10TCh. 9 - Prob. 11TCh. 9 - Prob. 12TCh. 9 - Prob. 1CRECh. 9 - Prob. 2CRECh. 9 - Prob. 3CRECh. 9 - Prob. 4CRECh. 9 - Prob. 5CRECh. 9 - Prob. 6CRECh. 9 - Prob. 7CRECh. 9 - Prob. 8CRECh. 9 - Prob. 9CRECh. 9 - Prob. 10CRECh. 9 - Prob. 11CRECh. 9 - Prob. 12CRECh. 9 - Prob. 13CRECh. 9 - Perform the indicated operations. (14x+5)2Ch. 9 - Prob. 15CRECh. 9 - Prob. 16CRECh. 9 - Prob. 17CRECh. 9 - Prob. 18CRECh. 9 - Prob. 19CRECh. 9 - Prob. 20CRECh. 9 - Prob. 21CRECh. 9 - Prob. 22CRECh. 9 - Prob. 23CRECh. 9 - Prob. 24CRECh. 9 - Prob. 25CRECh. 9 - Prob. 26CRECh. 9 - Prob. 27CRECh. 9 - Solve each problem. Decide whether the relation...Ch. 9 - Prob. 29CRECh. 9 - Prob. 30CRECh. 9 - Prob. 31CRECh. 9 - Prob. 32CRE
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- Example. Differentiate f(r) (4r- 5x +4(7-). narrow_forwardWhich function is equivalent to, y = 4x2 - 16x + 11 y = 2(x + 4)2 + 6 y = 4(x – 2)² – 5 y = 4(x + 2)? – 5 y = 2(x – 4)2 – 6arrow_forwardLet f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following. a. (f + g)(-5) b. f(2) g(-8)arrow_forward
- Could you also explain how you come to this answer.arrow_forwardIf f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. a. (f + g)(– 2) b. (g - )(- 4) c. (f • g)(1) d. (3) a. (f+ g)( – 2) = | (Simplify your answer.)arrow_forwardWhich function is equivalent tof (x) = -4(x+ 7)² – 6? %3D F.f (x) = -4x2 - 56x – 202 %3D G.f(x) = -4x2 + 14x + 43 %3D H.f(x) = -4x² - 56x – 172 %3D J.f(x)= -4x2 + 190 OF H.arrow_forward
- Let f(x) = x + 3 and g(x) = x² – 3x + 9. Find each of the following. a. (fg)(x) b. (fg)(-2) c. (fg)(0)arrow_forwardFind the difference quotient and simplify your answer. f(6 + h) – f(6) Ax) = x2 – x+ 1, -, h+0 h f(6 + h) – f(6) = h + 12, h+ 0 h f(6 + h) – f(6) = h + 13, h+0 %3D h f(6 + h) – f(6) = h + 14, h± 0 h f(6 + h) – f(6) = h + 15, h+ 0 %3D h f(6 + h) – f(6) h + 11, h+ 0 harrow_forwardWhich function is equivalent to g(x) = x2 + 15x – 54? %3D F g(x) = (x + 9)(x – 6) G g(x) = (x + 18)(x – 3) H g(x) = (x – 9)(x + 6) J g(x) = (x – 18)(x+ 3) %3D H.arrow_forward
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